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The data below shows a Survey conducted by Frank on age (Years) of basic shop learner in OPRT. a. Use tallies to organise the data to frequency table. b. Draw a pie chart to illustrate the information. c. find the percentage of those who are more than eleven Years.
Mathematics
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Step-by-step solution
4 stepsExtract and organize the data.
The ages given in the survey are:
$11, 10, 12, 14, 11, 11, 14, 10, 12$
$12, 11, 11, 11, 10, 14, 11, 10, 11$
There are 18 data points in total.Create a frequency table with tallies (Part a).
We count the occurrences of each age:
- Age 10: 4 times
- Age 11: 8 times
- Age 12: 3 times
- Age 14: 3 times
The frequency table is:
Calculate angles for the pie chart (Part b).
To draw a pie chart, we calculate the angle for each sector using the formula: .
- For Age 10:
- For Age 11:
- For Age 12:
- For Age 14: The sum of these angles is . To draw the pie chart, you would draw a circle, then use a protractor to mark these angles from the center, creating sectors. Each sector should be labeled with its corresponding age.
Calculate the percentage of those who are more than eleven years old (Part c).
"More than eleven years old" includes individuals aged 12 and 14.
Number of people aged
Number of people aged
Total number of people more than 11 years old = .
Total number of people surveyed = 18.The percentage is calculated as:
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